Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3374/12,2884/395
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 3374,2884
Greatest Common Factor of Numerators i.e. GCF of 3374,2884 is 14 .
LCM of Denominators means LCM of 12,395 as per the given fractions.
LCM of 12,395 is 4740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3374,2884
2 | 3374, 2884 |
7 | 1687, 1442 |
241, 206 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 3374
List of positive integer factors of 3374 that divides 3374 without a remainder.
1,2,7,14,241,482,1687,3374
Factors of 2884
List of positive integer factors of 2884 that divides 2884 without a remainder.
1,2,4,7,14,28,103,206,412,721,1442,2884
Greatest Common Factor
We found the factors 3374,2884 . The biggest common factor number is the GCF number.
So the greatest common factor 3374,2884 is 14.
Lets's calculate LCM of 12,395
Given numbers has no common factors except 1. So, there LCM is their product i.e 4740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/4740
Therefore, the GCF of Fractions 3374/12,2884/395 is 14/4740
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 12,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,395) x common factors =1 x 1 = 1
LCM(12,395) = ( 12 × 395 ) / 1
LCM(12,395) = 4740 / 1
LCM(12,395) = 4740
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 3374/12, 2884/395?
Answer: GCF of Numerators as per given numbers 3374/12, 2884/395 is
GCF of Numerators i.e. for 3374,2884 is 14
LCM of denominators i.e. for 12,395 is 4740.
Thus, GCF of Fractions is 14/4740.Finally, GCF of Fractions for 3374/12, 2884/395 is 14/4740.